Find the value of `tan^(-1)(tan((3pi)/4))`

Explanation

To find the value of \( \tan^{-1}(\tan(\frac{3\pi}{4})) \), we can follow these steps:

### Step 1: Identify the angle
We start with the angle \( \frac{3\pi}{4} \). This angle is in the second quadrant.

### Step 2: Determine the range of \( \tan^{-1} \)
The function \( \tan^{-1}(x) \) is defined for \( x \) in the range of \( -\frac{\pi}{2} < y < \frac{\pi}{2} \). This means that \( \tan^{-1}(\tan(x)) = x \) only when \( x \) is within this interval.

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